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Least Common Multiple (LCM) of 104 and 28

The least common multiple (LCM) of 104 and 28 is 728.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 104 and 28?

First, calculate the GCD of 104 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 28 = 3 remainder 20
2 28 ÷ 20 = 1 remainder 8
3 20 ÷ 8 = 2 remainder 4
4 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 943948
131 and 131131
49 and 1296321
196 and 683332
152 and 10916568

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